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Finding the Third Proportional to 73,911 and 162,591

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Solution

The third proportional to 73,911 and 162,591 is: 357,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,911 : 162,591 = 162,591 : x
  2. Step 2: Convert to fraction form
    73,911/162,591 = 162,591/x
  3. Step 3: Cross multiply
    73,911x = 162,591 × 162,591
  4. Step 4: Simplify right side
    73,911x = 26,435,833,281
  5. Step 5: Solve for x
    x = 26,435,833,281/73,911
  6. Step 6: Final answer
    x = 357,671.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.